Answer:
all real numbers except ±5.
Step-by-step explanation:
Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.
The domain of (f/g)(x) is all real numbers except ±5.
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Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:
- add 25 and take the square root: x^2=25; x=±√25.
- factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.
To start solving, separate this shape into 2 separate shapes. The dimensions of the smaller shape are 2 by 3 feet. The dimensions of the larger one are 3 by 11 feet. To find the area of an object, multiply its dimensions. Therefore, you multiply 2 by 3 and 3 by 11. You will get the products 6 and 33. Since we are still working within the same shape, however, you add the products together. You get 39. Therefore, 39 ft. squared is the answer.
Answer:
0.4
Step-by-step explanation:
Given
60 % wear neither ring nor a necklace
20 % wear a ring
30 % wear necklace
This question can be Solved by using Venn diagram
If one person is choosen randomly among the given student the probability that this student is wearing a ring or necklace is
The sum of probabilty is equal to 1 because it completes the set
Therefore the required probabilty is 0.4
Angle 2 is 110° and the other angles are 70°
